Syllabus, Math 2350, Fall 2002
Schedule and assignments
Differential Equations, Math 2350, Fall 2002

(Last modified Oct. 31, 2002. The course of the whole semester is now available, with minor adjustments to be made as necessary.)

Course information.

Tues 9/3 Sect. 1.1 Modelling Exer. 1,3,10,13,14.
Thur 9/5 Sect. 1.2 Separation of variables Exer. 1,2,5,6,7,14,25.
Tues 9/10 Sect. 1.3 Geometry of slope fields Exer. 8,9,11,12ab,15.
Thur 9/12 Sect. 1.5 Existence and Uniqueness Exer. 1-8, 9ab, 12, 14, 15.
Tues 9/17 Sect. 1.6 Equilibria and phase line Exer. 2,3,7,8,9,14,15,19-21,30,39,40.
Use dfield5 in place of PhaseLines if you wish.
Sect. 1.7 Bifurcations Exer. 1,3,4,7,8,15.
Thur 9/19 Sect. 1.8 Linear Equations Exer. 1-5, 8, 10, 11, 23, 24, 26, 27.
Tues 9/24 Sect. 2.1 Systems Exer. 1, 15, 17, 19.
Thur 9/26 Sect. 2.2 Geometry Exer. 11, 13-16.
Sect. 2.4 Existence and Uniqueness Exer. 7-9.
Tues 10/1 Review
Thur 10/3 Test 1 Chapters 1 and 2.
Tues 10/8 Lab 1 due.
Sect. 3.1 Linear Systems Exer. 5, 8, 17, 18, 24, 26, 33, 34.
Sect. 3.2 Eigenvectors Exer. 1, 2, 9, 11, 15, 16, 17.
Thur 10/10 Sect. 3.3 Real Eigenvalues Exer. 1-12.
Tues 10/15 Sect. 3.4 Complex eigenvalues Exer. 1, 3-6, 9-12.
Thur 10/17 Sect. 3.5 Special cases Exer. 1-8, 10, 11.
Tues 10/22 Sect. 3.6 Second Order Exer. 1-8, 10, 11.
Thur 10/24 Sect. 3.7 Trace-Determinant
Tues 10/29 Sect. 3.8 Three Dimensions Exer. 3, 4, 6, 14, 16, 17.
Thur 10/31 Sect. 4.1 Forced Harmonic Oscillators Exer. 1, 2, 4, 10, 13-15, 19.
Tues 11/5 Sect. 4.2 Sinusoidal Forcing
Thur 11/7 Sect. 4.3 Resonance
Tues 11/12 Sect. 4.4 Steady State
Lab 2 due. Lab 2 is Lab 3.1 on p. 362.
Thur 11/14 Test 2 Chapters 3 and 4.
Tues 11/19 Sect. 5.1 Equilibria Exer. 1-5, 16-20.
Thur 11/21 Sect. 5.2 Qualitative Analysis Exer. 1, 3, 9, 13, 14, 15, 21-23.
Tues 11/26 Sect. 5.2 Continued
Thur 11/28 Thanksgiving Break
Tues 12/3 Sect. 5.3 Hamiltonian Systems Exer. 2, 3, 9, 11-13, 14, 15.
Thur 12/5 Sect. 5.4 Dissipative Syatems Exer. 1, 2, 3, 12, 13, 19, 20, 21.
Tues 12/10 Review




Tues 12/17 FINAL EXAM (Comprehensive) 6:00 - 7:20, in 229 State Hall.